How Do Dimensions Align in Gravitoelectromagnetic Force Equations?

[help1please]

Homework Statement

There are two force equations in this wiki page: http://en.wikipedia.org/wiki/Gravitoelectromagnetism

Homework Equations

The Attempt at a Solution

The conventional Lorentz force is

$$F = q(E + v \times B)$$

It says that the gravielectromagnetic force equation:

$$F = m(E_g + v \times B_g)$$

Is it's gravitational analogue. Yet, the only difference between the equations is that mass and charge have been exchanged.

How can the dimensions be right in the second equation?


Thank you!

 

[voko]

Yet, the only difference between the equations is that mass and charge have been exchanged.

No, that's not the only difference. The other symbols have changed, too. What are their units?

 

[help1please]

what is $$E_g$$?

I take it then, it's not simply the electric field?

 

[voko]

It's not. The article explains that down to the units involved. Give it another try, just do it carefully :)

 

[help1please]

Ah it says it is the gravielectric field even. Sorry about that. So what is E_g written out?

 

[voko]

As the article says, it's just the static gravitational field, acceleration due to static gravity (i.e., independent of any accelerated motion).